When the Vedas were stolen from Brahma, Lord Mahavishnu
took the Matsya avatara to retrieve them. We find in the
Vishnu Sahasranama many names of the Lord that
signify this avatara, said M.A. Venkatakrishnan in a discourse.
One of the names is Gururgurutamah. Guru and gurutamah
are not to be taken as two names, but as one. It means
that He is the highest among all preceptors, because He imparted
jnana to Brahma. During the deluge, He steers the
ship (earth), which holds the seeds of all that is dissolved
during the floods. Hence, He is dhAmah. He is satyah, because
He helped good people like Manu and others who
sought His help. He is satyaparAkramah — His actions towards
Manu and other virtuous people were in keeping with
His prowess. He is nimishah, for He does not look with benevolence upon the enemies of His devotees.
He is animishah, that is in the case of His devotees,
He never closes His eyes.
The name animishah fits the Matsya avatara perfectly, because
fishes never blinks. He is sragvee, the One adorned with
a garland. Even when He takes the form of a fish,
he is adorned with the Vyajayanthi garland.
In the Matsya avatar. He gave to Brahma,
Vedic knowledge that he had lost. Hence, he is vachaspatih —
the Lord of speech. He is udaradhI, because his janana
fills people with awe. He is agrani, because he leads people
to moksha. He is gramani, because in Paramapada,
he leads the Nityasuris. Lotus eyes are a feature if
the Supreme One, and even in the Matsya avatara.
He has lotus eyes, thereby showing his Supremacy.
Hence, he has the name Sreeman.
Desika, in Dasavatara stora, says that the Lord's movement
in the ocean created the rise and fall of the waves
resembling the movement of a swing, which the
Lord enjoyed.